阿摩線上測驗 登入

110年 - 110台灣聯合大學系統_碩士班招生考試_物理類:近代物理#104513

科目：研究所、轉學考(插大)-近代物理學 | 年份：110年 | 選擇題數：0 | 申論題數：12

試卷資訊

所屬科目：研究所、轉學考(插大)-近代物理學

選擇題 (0)

申論題 (12)

(a) Are photons bosons or fermions?
(b) The energy of electron orbitals in an unperturbed hydrogen-like atom is determined by the quantum number n or I?
(c) In quantum mechanics, can position and momentum of a particle be simultaneously determined? Yes or no?

(d) "The Hamiltonian H acting on the wave function 61b2e0e0a5070.jpg which represents a real physics system lead to61b2e0ba72017.jpg, where E is the energy of this system." Is this statement true or false?
(e) What is the eigenenergy of a simple harmonic oscillator? (5% cach)
2. Explain the following subjects: (a) cosmic microwave background; (b) superconductors; (c) topological insulators; (d) gravitational wave. (5% each)
(a) Write down the wave function 61b2e0e0a5070.jpg (x.t). (10%)
(b) You measure the energy of the particle at 1-=O. Write the possible values of the energy and the probability of measuring each. (10%)
(c) Calculate the expectation value of the energy in the state Y(xr,r) above. (5%)

(a) Can the free particle wave function61b2e275500e7.jpg be normalized in a box with size L?(10%)
(b) When L is large, show that you can construct the (nearly) orthonormal eigenstates of the free particle from61b2e275500e7.jpg  (10%)

5. In a metal, the group velocity of a conducting carrier is 61b2e2ba2b17d.jpgis the dispersion relation or the band structure of the carrier. (Consider a simplified one dimensional case.) Show that61b2e2e0a777e.jpgby a semi-classical approach, where F is the experienced force on the carrier. (10%)